Answer:
A) 760 ft³
Explanation:
The surface area of the figure has to be calculated.
Step 1: Divide the figure
The figure is divided into the following parts to calculate the volume.
Part 1: Box without ledge
Formula for volume of rectangle = length x width x height
Volume = 14.3 x 7.8 x 6.6
Volume = 736.164 ft³
Part 2: Box with ledge-we will only calculate height and width since the length has already been included in part 1 therefore including it again would result in double counting and give the wrong answer.
Volume = height x width
Volume = 2.7 x 7.8
Volume = 21.06 ft³
Step 2: Add both volumes to find the total volume
Volume part 1 + Volume part 2 = 736.164 ft³ + 21.06 ft³
= 757.224 ft³ rounded off to nearest tenth = 760 ft³
Therefore, answer A is correct.
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